What is the Least Common Multiple of 1857 and 1870?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 1857 and 1870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1857 and 1870, than apply into the LCM equation.

GCF(1857,1870) = 1
LCM(1857,1870) = ( 1857 × 1870) / 1
LCM(1857,1870) = 3472590 / 1
LCM(1857,1870) = 3472590

Least Common Multiple (LCM) of 1857 and 1870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1857 and 1870. First we will calculate the prime factors of 1857 and 1870.

Prime Factorization of 1857

Prime Factorization of 1870

Now multiplying the highest exponent prime factors to calculate the LCM of 1857 and 1870.

LCM(1857,1870) = 3¹ × 619¹ × 2¹ × 5¹ × 11¹ × 17¹
LCM(1857,1870) = 3472590